I have no idea of the court challenges or success/failure of those (if any) challenges, but I do know that there have been laws passed that addressed the wearing of gang colors etc. I've been a biker since age 19 (just a few weeks shy of 61 currently) and I know that clubs never refer to themselves as "gangs," but the recent shootout between the Bandidos and the Cossacks is just one fairly current newsworthy event that shows that law enforcement and prosecutors don't care what they call themselves.
That said, since you didn't mention it (and I don't blame you if it's the case), if your club is a 1% outlaw club, then you are on the radar of the state as a gang, not a club. If there are either local or federal laws that do restrict carrying guns by gang members, but haven't been successfully challenged in court, then you're either the test-case waiting to happen, or you shouldn't try to get a permit, or you may fall prey to being stopped and frisked and caught carrying "illegally" if you go without a permission slip.
If your club is like the "Weekend Yuppies" or a Christian biker club or something, just the fact that you have a 4-piece back-patch with name, state, "MC" and club logo doesn't (or at least should never) put you on the cops' radar, nor should it prevent you from applying for or receiving a permission slip to carry.
If your club kinda considers itself "in between" being outlaw and just a social organization, you're probably going to have to actually ask the local Sheriff or the DA's office, or if you don't want to talk to them (and again, I wouldn't blame you), consult a lawyer to find out if your club is on the list of gangs that get "special" treatment from the powers that be.
If you are outlaw, surely you already have (at least one) lawyer that you can call for advice, right? That would be a much more reliable way to get an answer than taking the word(s) of a bunch of strangers on the internet.
Blues